Welcome to** national5maths.co.uk**

This website is primarily a free Maths resource for pupils, adult learners, parents and teachers.

Study at Advanced Higher Maths level will provide excellent preparation for your studies when at university. Some universities may require you to gain a pass at AH Maths to be accepted onto the course of your choice. The AH Maths course is fast paced so please do your very best to keep on top of your studies.

We hope you find this website useful and wish you the very best with your studies in 2020/21.

Please find resources for all other Maths courses HERE.

To return to the Home Page please click HERE.

Please find below:

1. AH Maths of Mechanics Past Papers

2. AH Applied Mathematics (Mechanics) Past Papers

3. AH Maths of Mechanics Theory Guides/Support Notes

4. AH Maths of Mechanics – Homework & Solutions

**1. AH Maths of Mechanics Past Papers**

Thanks to the SQA for making these available.

Year __________ | Exam Type __________________________________ | Exam Paper _____________________ | Marking Scheme ____________________ |

2019 | AH Maths of Mechanics | Exam Paper | Marking Scheme |

2018 | AH Maths of Mechanics | Exam Paper | Marking Scheme |

2017 | AH Maths of Mechanics | Exam Paper | Marking Scheme |

2016 | AH Maths of Mechanics | Exam Paper | Marking Scheme |

2015 | AH Maths of Mechanics - Specimen | Practice Paper | |

2015 | AH Maths of Mechanics - Exemplar | Practice Paper |

**2. AH Applied Mathematics (Mechanics) Past Papers**

Thanks to the SQA for making these available.

2015 AH Exam | 2015 Marking |

2014 AH Exam | 2014 Marking |

2013 AH Exam | 2013 Marking |

2012 AH Exam | 2012 Marking |

2011 AH Exam | 2011 Marking |

2010 AH Exam | 2010 Marking |

2009 AH Exam | 2009 Marking |

2008 AH Exam | 2008 Marking |

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**3. AH Maths of Mechanics Theory Guides/Support Notes**

Thanks to the SQA and M. Patel for making available the excellent support notes and Theory Guides below.

Details ____________________________________________________________________ | Link ______ |

Course Specification (April 2015, Version 2.0) | HERE |

Course and Unit Support Notes (May 2016, Version 2.2) | HERE |

Course Assessment Specification (April 2016, Version 2.4) | HERE |

Unit Specification, Force, Energy and Periodic Motion (April 2015, Version 2.0) | HERE |

Unit Specification, Linear and Parabolic Motion (April 2015, Version 2.0) | HERE |

Unit Specification, Mathematical Techniques for Mechanics (April 2015, Version 2.0) | HERE |

Question Paper Brief (March 2016, Version 1.1) | HERE |

Specimen Question Paper | HERE |

Exemplar Question Paper | HERE |

Theory Guide/Support Notes 1 | HERE |

Theory Guide/Support Notes 2 | HERE |

Theory Guide/Support Notes 3 | HERE |

001 - Rectilinear Motion (Displacement, Velocity and Acceleration) | HERE |

002 - Graphs and Equations of Motion | HERE |

003 - Vector Functions | HERE |

004 - Relative Motion | HERE |

005 - Closest Approach and Collision Problems | HERE |

006 - Projectile Motion | HERE |

007 - Newton's Laws, Free-Body Diagrams and Equilibrium | HERE |

008 - Friction | HERE |

009 - Circular Motion Theory | HERE |

010 - Centripetal Motion and Friction | HERE |

011 - Central Forces and Banked Circular Motion | HERE |

012 - The Conical Pendulum | HERE |

013 - Gravitation | HERE |

014 - Simple Harmonic Motion (SHM) | HERE |

015 - Hooke's Law | HERE |

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**4. AH Maths of Mechanics – Homework & Solutions**

Thanks to the SQA and author (Madras College) for making available the excellent homework exercises below.

The exercises can also be used for revision.

Homework ______________ | Link ____________ | Solutions ___________ |

Homework 1 | Homework 1 | Solutions |

Homework 2 | Homework 2 | Solutions |

Homework 3 | Homework 3 | Solutions |

Homework 4 | Homework 4 | Solutions |

Homework 5 | Homework 5 | Solutions |

Homework 6 | Homework 6 | Solutions |

Homework 7 | Homework 7 | Solutions |

Homework 8 | Homework 8 | Solutions |

Homework 9 | Homework 9 | Solutions |

Homework 10 | Homework 10 | Solutions |

Homework 11 | Homework 11 | Solutions |

Homework 12 | Homework 12 | Solutions |

Homework 13 | Homework 13 | Solutions |

Homework 14 | Homework 14 | Solutions |

Homework 15 | Homework 15 | Solutions |

Homework 16 | Homework 16 | |

Homework 17 | Homework 17 | Solutions |

Homework 18 | Homework 18 | Solutions |

Homework 19 | Homework 19 | Solutions |

**5. List of Topics by Unit**

Applied Mathematics Advanced Higher – Mechanics: Unit 1

• Kinematics in a straight line

• Kinematics in three dimensions, including relative motion.

• Projectile motion

• Force and Newton’s laws of motion

Applied Mathematics Advanced Higher – Mechanics: Unit 2

• Circular motion

• Simple harmonic motion

• Momentum and impulse

• Work, energy and power

• Rectilinear motion using differential equations

Advanced Higher Mathematics for Applied Mathematics Unit 3

• Algebraic operations

• Matrix algebra

• Differentiation

• Integration

• Differential Equations

Covers the whole of the National 5 Maths course

Created by an experienced maths teacher

Resources used with students studying Maths in Scottish Secondary Schools